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Some limit properties for the coefficients of the q-Catalan numbers

Author

Listed:
  • Zikai Wu

    (University of Shanghai for Science and Technology)

  • Hongxia Du

    (Henan Normal University)

Abstract

In the paper, some limit properties, such as, moderate deviation principle and law of large numbers, for the coefficients of the q-Catalan numbers and the generalized q-Catalan numbers are obtained.

Suggested Citation

  • Zikai Wu & Hongxia Du, 2014. "Some limit properties for the coefficients of the q-Catalan numbers," Indian Journal of Pure and Applied Mathematics, Springer, vol. 45(4), pages 469-478, August.
    • Handle: RePEc:spr:indpam:v:45:y:2014:i:4:d:10.1007_s13226-014-0075-6
    DOI: 10.1007/s13226-014-0075-6
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    Cited by:

    1. Nils Heerten & Holger Sambale & Christoph Thäle, 2024. "Probabilistic limit theorems induced by the zeros of polynomials," Mathematische Nachrichten, Wiley Blackwell, vol. 297(5), pages 1772-1792, May.

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